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The imputation of missing values in time series has many applications in healthcare and finance. While autoregressive models are natural candidates for time series imputation, score-based diffusion models have recently outperformed existing…

Machine Learning · Computer Science 2021-10-28 Yusuke Tashiro , Jiaming Song , Yang Song , Stefano Ermon

Particle dynamics and multi-agent systems provide accurate dynamical models for studying and forecasting the behavior of complex interacting systems. They often take the form of a high-dimensional system of differential equations…

Machine Learning · Computer Science 2023-08-09 Yuxuan Liu , Scott G. McCalla , Hayden Schaeffer

Quantifying relationships between components of a complex system is critical to understanding the rich network of interactions that characterize the behavior of the system. Traditional methods for detecting pairwise dependence of time…

Data Analysis, Statistics and Probability · Physics 2024-04-10 Aria Nguyen , Oscar McMullin , Joseph T. Lizier , Ben D. Fulcher

Predicting pedestrian motion trajectories is critical for path planning and motion control of autonomous vehicles. However, accurately forecasting crowd trajectories remains a challenging task due to the inherently multimodal and uncertain…

Computer Vision and Pattern Recognition · Computer Science 2025-08-07 Yu Liu , Zhijie Liu , Xiao Ren , You-Fu Li , He Kong

Analyzing time series in the frequency domain enables the development of powerful tools for investigating the second-order characteristics of multivariate processes. Parameters like the spectral density matrix and its inverse, the coherence…

Methodology · Statistics 2024-01-19 Jonas Krampe , Efstathios Paparoditis

Diffusion models show promising generation capability for a variety of data. Despite their high generation quality, the inference for diffusion models is still time-consuming due to the numerous sampling iterations required. To accelerate…

Computer Vision and Pattern Recognition · Computer Science 2023-10-26 Kexun Zhang , Xianjun Yang , William Yang Wang , Lei Li

Reputation systems concern soft security dynamics in diverse areas. Trust dynamics in a reputation system should be stable and adaptable at the same time to serve the purpose. Many reputation mechanisms have been proposed and tested over…

Social and Information Networks · Computer Science 2019-03-15 Ekaterina Yashkina , Arseny Pinigin , JooYoung Lee , Manuel Mazzara , Akinlolu Solomon Adekotujo , Adam Zubair , Luca Longo

Related to an idea of Lewin, a mathematical model for behavioral changes under the influence of a social field is developed. The social field reflects public opinion, social norms and trends. It is not only given by external factors (the…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing

Hybrid continuous-discrete models naturally represent many real-world applications in robotics, finance, and environmental engineering. Inference with large-scale models is challenging because relational structures deteriorate rapidly…

Machine Learning · Computer Science 2012-10-19 Jaesik Choi , Eyal Amir

What is intuitive: pro-social or anti-social behaviour? To answer this fundamental question, recent studies analyse decision times in game theory experiments under the assumption that intuitive decisions are fast and that deliberation is…

Physics and Society · Physics 2020-04-14 Riccardo Gallotti , Jelena Grujic

Event-driven systems in fields such as neuroscience, social networks, and finance often exhibit dynamics influenced by continuously evolving external covariates. Motivated by these applications, we introduce a new class of multivariate…

Statistics Theory · Mathematics 2025-12-02 Maya Sadeler Perrin , Anna Bonnet , Charlotte Dion-Blanc , Adeline Samson

Neural Temporal Point Processes (TPPs) have emerged as the primary framework for predicting sequences of events that occur at irregular time intervals, but their sequential nature can hamper performance for long-horizon forecasts. To…

Machine Learning · Computer Science 2024-07-23 Mai Zeng , Florence Regol , Mark Coates

Human behavior in interactive settings is shaped not only by individual objectives but also by shared constraints with others, such as safety. Understanding how people allocate responsibility, i.e., how much one deviates from their desired…

Multiagent Systems · Computer Science 2026-04-16 Isaac Remy , Caleb Chang , Karen Leung

Conditional diffusion models serve as the foundation of modern image synthesis and find extensive application in fields like computational biology and reinforcement learning. In these applications, conditional diffusion models incorporate…

Machine Learning · Computer Science 2024-03-19 Hengyu Fu , Zhuoran Yang , Mengdi Wang , Minshuo Chen

Turing patterns are a central paradigm for describing spatial patterns in nature. The corresponding theory of reaction-diffusion dynamics combines ideal diffusion with nonlinear reactions, resulting in patterns when species diffuse at…

Biological Physics · Physics 2026-01-28 Cathelijne ter Burg , David Zwicker

The behavioral dynamics of multi-agent systems have a rich and orderly structure, which can be leveraged to understand these systems, and to improve how artificial agents learn to operate in them. Here we introduce Relational Forward Models…

Functional magnetic resonance imaging (fMRI) is an emerging neuroimaging modality that is commonly modeled as networks of Regions of Interest (ROIs) and their connections, named functional connectivity, for understanding the brain functions…

Neurons and Cognition · Quantitative Biology 2024-10-01 Haokai Zhao , Haowei Lou , Lina Yao , Yu Zhang

Information diffusion mechanisms based on social influence models are mainly studied using likelihood of adoption when active neighbors expose a user to a message. The problem arises primarily from the fact that for the most part, this…

Social and Information Networks · Computer Science 2020-03-24 Soumajyoti Sarkar , Hamidreza Alvari , Paulo Shakarian

High-dimensional data must be highly structured to be learnable. Although the compositional and hierarchical nature of data is often put forward to explain learnability, quantitative measurements establishing these properties are scarce.…

Machine Learning · Statistics 2025-03-04 Antonio Sclocchi , Alessandro Favero , Noam Itzhak Levi , Matthieu Wyart

Although recommenders can ship items to users automatically based on the users' preferences, they often cause unfairness to groups or individuals. For instance, when users can be divided into two groups according to a sensitive social…

Information Retrieval · Computer Science 2024-10-07 Zhenhao Jiang , Jicong Fan